Question

If f(x)= -4x + 3 and g(x) = 3x² + 2x - 4 find (f+g)(x)

Answer 1

A

Explanation:

We have the two functions:

`f(x)=-4x+3\text{ and } g(x)=3x^2+2x-4`

And we want to find (f+g)(x).

Note that this is the same thing to f(x)+g(x). Therefore:

`\begin{aligned} (f+g)(x)&=f(x)+g(x) \\ &=(-4x+3)+(3x^2+2x-4) \end{aligned}`

We simply substituted them for their equations.

Simplify. Combine like terms:

`=(3x^2)+(-4x+2x)+(3-4)`

Add:

`=3x^2-2x-1`

Hence, our answer is A.